中文摘要：

为评估混合模式裂缝问题的压力紧张因素(SIF ) 的相互作用积分方法论的扩大有限元素方法(XFEM ) 实现被介绍。不连续的功能和近尖端的 asymptotic 功能被加到经典有限元素近似为裂缝行为建模。由实际、辅助的地的重叠的二状态的积分被导出计算 SIF。到有从 0 的使倾向的角度的使倾向的中心裂缝板的建议技术的应用

英文摘要：

Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.